2107009632 has 384 divisors, whose sum is σ = 7153090560. Its totient is φ = 528353280.

The previous prime is 2107009621. The next prime is 2107009649. The reversal of 2107009632 is 2369007012.

It is a self number, because there is not a number n which added to its sum of digits gives 2107009632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26670969 + ... + 26671047.

It is an arithmetic number, because the mean of its divisors is an integer number (18627840).

Almost surely, 2^2107009632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576545280).

2107009632 is an abundant number, since it is smaller than the sum of its proper divisors (5046080928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2107009632 is a wasteful number, since it uses less digits than its factorization.

2107009632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2107009632 is about 45902.1745890105. The cubic root of 2107009632 is about 1282.0024062072.

The spelling of 2107009632 in words is "two billion, one hundred seven million, nine thousand, six hundred thirty-two".